具耦合边界源的非线性扩散方程组解的爆破速率估计

J4 ›› 2010, Vol. 48 ›› Issue (06): 961-963.

具耦合边界源的非线性扩散方程组解的爆破速率估计

韩晓艳, 王泽佳, 杨云

吉林大学数学学院, 长春 130012

收稿日期:2010-01-21 出版日期:2010-11-26 发布日期:2010-11-26
通讯作者: 王泽佳 E-mail:matwzj@jlu.edu.cn

Estimates of Blowup Rates for the Solution to a NonlinearDiffusion Equations Coupled by Boundary Sources

HAN Xiaoyan, WANG Zejia, YANG Yun

College of Mathematics, Jilin University, Changchun 130012, China

Received:2010-01-21 Online:2010-11-26 Published:2010-11-26
Contact: WANG Zejia E-mail:matwzj@jlu.edu.cn

摘要/Abstract

摘要：

考虑一类具有非线性边界源的耦合退化抛物方程组, 利用积分的方法得到了有限时刻发生爆破解的爆破速率估计. 结果表明, 对于快、慢扩散不同情形下耦合非线性扩散方程组爆破解的爆破速率估计一致.

关键词: 非线性扩散方程组, 边界源, 爆破速率

Abstract:

We considered a class of nonlinear diffusion equations coupled by boundary sources, obtained the blowup rates via integral method and some discussions in two cases. Compared with the known results, our results show that the blowup rates of the blowup solutions for the fastly and slowly diffusive systems are the same.

Key words: nonlinear diffusion equations, boundary source, blowup rate

中图分类号:

O175.26

韩晓艳, 王泽佳, 杨云. 具耦合边界源的非线性扩散方程组解的爆破速率估计[J]. J4, 2010, 48(06): 961-963.

HAN Xiao-Yan, WANG Ze-Jia, YANG Yun. Estimates of Blowup Rates for the Solution to a NonlinearDiffusion Equations Coupled by Boundary Sources[J]. J4, 2010, 48(06): 961-963.

[1]	李海霞, 韩玉柱. 一类具非局部边界条件抛物方程解的爆破模式[J]. 吉林大学学报(理学版), 2017, 55(06): 1393-1397.
[2]	孟繁慧, 高文杰. 一类具非局部边界条件的拟线性抛物方程解的整体存[J]. 吉林大学学报(理学版), 2013, 51(04): 561-567.